522053271016704 has 864 divisors, whose sum is σ = 1825370914752000. Its totient is φ = 146720505544704.

The previous prime is 522053271016699. The next prime is 522053271016763. The reversal of 522053271016704 is 407610172350225.

522053271016704 is a `hidden beast` number, since 5 + 2 + 2 + 0 + 532 + 7 + 101 + 6 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 522053271016704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7197422422 + ... + 7197494954.

It is an arithmetic number, because the mean of its divisors is an integer number (2112697818000).

Almost surely, 2^{522053271016704} is an apocalyptic number.

522053271016704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522053271016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912685457376000).

522053271016704 is an abundant number, since it is smaller than the sum of its proper divisors (1303317643735296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

522053271016704 is a wasteful number, since it uses less digits than its factorization.

522053271016704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72920 (or 72893 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 522053271016704 in words is "five hundred twenty-two trillion, fifty-three billion, two hundred seventy-one million, sixteen thousand, seven hundred four".